Defining parameters
| Level: | \( N \) | \(=\) | \( 9801 = 3^{4} \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9801.bo (of order \(110\) and degree \(40\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 363 \) |
| Character field: | \(\Q(\zeta_{110})\) | ||
| Sturm bound: | \(2376\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9801, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 48000 | 21280 | 26720 |
| Cusp forms | 47040 | 20960 | 26080 |
| Eisenstein series | 960 | 320 | 640 |
Decomposition of \(S_{2}^{\mathrm{new}}(9801, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9801, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9801, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(363, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1089, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3267, [\chi])\)\(^{\oplus 2}\)